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Finding the Third Proportional to 4,863,010 and 7,628,356.50

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Solution

The third proportional to 4,863,010 and 7,628,356.50 is: 11,966,214.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863,010 : 7,628,356.50 = 7,628,356.50 : x
  2. Step 2: Convert to fraction form
    4,863,010/7,628,356.50 = 7,628,356.50/x
  3. Step 3: Cross multiply
    4,863,010x = 7,628,356.50 × 7,628,356.50
  4. Step 4: Simplify right side
    4,863,010x = 58,191,822,891,092.25
  5. Step 5: Solve for x
    x = 58,191,822,891,092.25/4,863,010
  6. Step 6: Final answer
    x = 11,966,214.94

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.